Random Telegraph
stochastic-process · 37 views
stochastic-processintermittent
What It Is
Two-state Markov process with exponential holding times --- binary correlation structure
Interpretation
Standard analysis sees: bounded / light-tailed; high-complexity (noise-like); low-dimensional. The atlas finds no named structure, but the source is distinctively extreme on Chladni:domain_ks_exponential (-2.4z) — beyond what the standard bank predicts for it.
What standard analysis sees
tail heaviness0.05
asymmetry0.69
occupancy0.43
short-range corr0.68
long-range memory0.75
spectral colour0.40
periodicity0.46
complexity0.91
time-irreversibility0.27
volatility clustering0.51
multifractality0.70
dimensionality0.09
nonstationarity0.46
What the atlas adds
Atlas-extreme metrics the standard bank can’t predict for this source
Chladni:domain_ks_exponential | -2.5z | bank-miss 1.6σ |
Composition
dtypefloat64
range[-60.35, 250.4]
unique values16384 / 16384
mean ± std97.8 ± 101
Render Gallery
Native > phase_plotraw
Native > timeseriesraw
Native > triple_latticeraw
Boltzmann > lag_map
Boltzmann > spin_grid
Cayley > default
Chladni > free_plate_nodal
Chladni > plate_bottom
Chladni > plate_top
_(centered)/signed_log_z/Random_Telegraph.png)
Heisenberg (Nil) (centered) > signed_log_z
_(centered)/xy_path/Random_Telegraph.png)
Heisenberg (Nil) (centered) > xy_path
Hodge–Laplacian > default
/barcode/Random_Telegraph.png)
Inflation (Substitution) > barcode
/d_curve/Random_Telegraph.png)
Inflation (Substitution) > d_curve
Information Theory > default
Julia Set > escape_histogram
Klein Bottle > default
Laplacian > default
Logarithmic Spiral > default
Möbius-S³ > mobius_cylinder
Möbius-S³ > s2_base_map
Ordinal Partition > default
/phi_spectrum/Random_Telegraph.png)
Penrose (Quasicrystal) > phi_spectrum
Persistent Homology > barcode
Persistent Homology > h1_diagram
Predictability > default
Recurrence Quantification > default
Spectral Analysis > default
Spectral Graph > default
Spirograph > mode_spectrum
Spirograph > phasor_trajectory
Symplectic > flux_grid
Symplectic > phase_space
/default/Random_Telegraph.png)
Ulam Spiral (Sacks) > default
/default/Random_Telegraph.png)
Ulam Spiral (Square) > default
Visibility Graph > default
Wavelet Cascade > default
Atlas Position
| Nearest neighbor | Distance | |
|---|---|---|
| Network Packet Sizes | 3.99 | cross-origin |
| Intermittent Silence | 4.44 | |
| Solar Wind IMF | 4.48 | cross-origin |
Which Geometries Light Up
Chladni › Chladni:domain_ks_exponential | rank 306/307 | 0.0432 |
SL(2,ℝ) (Thurston) › SL(2,ℝ) (Thurston):mean_trace | rank 305/307 | -1.9317 |
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